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95268432 = 24371914923
BaseRepresentation
bin1011010110110…
…10111001010000
320122021010201110
411223122321100
5143342042212
613241533320
72234524350
oct553327120
9218233643
1095268432
114985a646
1227aa4240
1316977c6c
14c91cb60
15856ca3c
hex5adae50

95268432 has 80 divisors (see below), whose sum is σ = 296092160. Its totient is φ = 25785216.

The previous prime is 95268419. The next prime is 95268443. The reversal of 95268432 is 23486259.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1078 + ... + 13845.

It is an arithmetic number, because the mean of its divisors is an integer number (3701152).

Almost surely, 295268432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95268432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148046080).

95268432 is an abundant number, since it is smaller than the sum of its proper divisors (200823728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

95268432 is a wasteful number, since it uses less digits than its factorization.

95268432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14960 (or 14954 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 95268432 is about 9760.5549022584. The cubic root of 95268432 is about 456.7196239815.

The spelling of 95268432 in words is "ninety-five million, two hundred sixty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 14923 29846 44769 59692 89538 104461 119384 179076 208922 238768 283537 313383 358152 417844 567074 626766 716304 835688 850611 1134148 1253532 1671376 1701222 1984759 2268296 2507064 3402444 3969518 4536592 5014128 5954277 6804888 7939036 11908554 13609776 15878072 23817108 31756144 47634216 95268432